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122004300055440 = 24351167761906383
BaseRepresentation
bin11011101111011001010110…
…111101110100001110010000
3120222222111102102221100001010
4123233121112331310032100
5111442404301303233230
61111252000211010520
734461343201436055
oct3357312675641620
9528874372840033
10122004300055440
1135968807810320
1211825301299a40
13530cc577cc83a
14221b07aa5d02c
15e18929dc89b0
hex6ef656f74390

122004300055440 has 320 divisors, whose sum is σ = 419305246175232. Its totient is φ = 29097037516800.

The previous prime is 122004300055411. The next prime is 122004300055511. The reversal of 122004300055440 is 44550003400221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122004300055398 and 122004300055407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134152489 + ... + 135058871.

Almost surely, 2122004300055440 is an apocalyptic number.

122004300055440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122004300055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209652623087616).

122004300055440 is an abundant number, since it is smaller than the sum of its proper divisors (297300946119792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122004300055440 is a wasteful number, since it uses less digits than its factorization.

122004300055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907238 (or 907232 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 122004300055440 its reverse (44550003400221), we get a palindrome (166554303455661).

The spelling of 122004300055440 in words is "one hundred twenty-two trillion, four billion, three hundred million, fifty-five thousand, four hundred forty".